Geodesic
Development of the Russian state in the 20th and 21st centuries: mathematical modeling based on the socio-energy approach
Izvestiya VUZ. Applied Nonlinear Dynamics, Tome 29 (2021) no. 3, pp. 365-375.

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Purpose. The article is devoted to modeling the socio-political development of Russia in 1910-2009 based on the author's socio-energy approach. In this paper, we briefly talk about the basics of the proposed approach, its principles and basic equations. Methods. The mathematical model is based on the Langevin diffusion equation. We also introduce the concepts of social energy, coefficients of the state of society and give them definitions. Results. Based on its, computer modeling is carried out and the characteristic regularity of the development of society in Russia in 1910-2009 is derived. Conclusion. We can notice the spiral pattern of the Russian society in the 20th century. Depending on the density, scale and diversity of events "the flow" of history is accelerating, and the movement in the coil becomes "faster". On its basis, the further development of the Russian society and the state as a whole can be predicted.
Keywords: socio-energy approach, mathematical modeling, nonlinear dynamical systems, socio-political development of Russia. 
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     author = {A. Yu. Petukhov},
     title = {Development of the {Russian} state in the 20th and 21st centuries: mathematical modeling based on the socio-energy approach},
     journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
     pages = {365--375},
     publisher = {mathdoc},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IVP_2021_29_3_a3/}
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A. Yu. Petukhov. Development of the Russian state in the 20th and 21st centuries: mathematical modeling based on the socio-energy approach. Izvestiya VUZ. Applied Nonlinear Dynamics, Tome 29 (2021) no. 3, pp. 365-375. http://geodesic.mathdoc.fr/item/IVP_2021_29_3_a3/